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Finding the Fourth Proportional to 1,525.57, 2,288.51 and 415.01

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Solution

The fourth proportional to 1,525.57, 2,288.51 and 415.01 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.57 : 2,288.51 = 415.01 : x
  2. Step 2: Convert to fraction form
    1,525.57/2,288.51 = 415.01/x
  3. Step 3: Cross multiply
    1,525.57x = 2,288.51 × 415.01
  4. Step 4: Simplify right side
    1,525.57x = 949,754.54
  5. Step 5: Solve for x
    x = 949,754.54/1,525.57
  6. Step 6: Final answer
    x = 622.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.